Welcome.
Lots of great folks on this forum and you'll get some good advice. Not sure if mine is ever worth much, but here goes. There are at least a dozen good choices for a medium game hunting rifle out there today. And too many cartridges to try to list. The fiorst thing I'd do if I were you would be to determine a budget. If you are going to put a scope on the rifle, I strongly recommend that you buy the best scope that you can possibly afford.
My personal favorite cartridge is the 308 Win. This particular cartridge does a great job with 165 gr. bullets. The 30.06 Spr. is about a as good a "one rifle" option as there is out there. Most I have sighted in "like" the 165 gr. to -180 gr. bullet stuff.
As for make ... model? I suggest you go "feel' several. Fit and feel are very important. MSRP's of factroy grade rifles vary all over the place. But most are in the $400-$600 range. My personal favorite is the Styer Pro Hunter. I am also a big fan of the Remington Model 700 and Ruger 77.
As far as scope .... do yourself a favor and do not under spend. I have never once had a "blue light special" last for long. You can find excellent values in the $250 to $650 range. My recommendation for a value scope are the Ziess Conquest, Bushnell Elite and Vortex scopes in that price range. If it is excellence you want and prince is not an issue, Swarovski's and Ziess' top of the line stuff is superb.
Another thing that you should do is try out several loads. Each rifle is unique in what ammo it "likes". As an example, Tuesday I helped a buddy sight in his brand new Browning X bolt, in 270 Win. He came to the range prepared .... with several different factory loads. The least expensive was about $20.00 the most expensive was over $50.00. He had stuff made by Remington, Winchester, Hornady, Federal and Nosler. Eleven different boxes all total. (Can we say "over board"?) Anyway, these grouped out of this rifle from well over 3 MOA to well under 1 MOA, with most of the others right at 1.5 -2.0 MOA. At 100 yards ... any of these would have hit the kill zone of a broadside deer. At 350-400 yards, whole differnt issue ! Pick the best grouping of whatever you try out.